2101122100120 has 64 divisors (see below), whose sum is σ = 4789414915200. Its totient is φ = 829455244800.

The previous prime is 2101122100117. The next prime is 2101122100139. The reversal of 2101122100120 is 210012211012.

It is a super-2 number, since 2×2101122100120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101122100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7307070 + ... + 7589170.

It is an arithmetic number, because the mean of its divisors is an integer number (74834608050).

Almost surely, 2^{2101122100120} is an apocalyptic number.

2101122100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101122100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394707457600).

2101122100120 is an abundant number, since it is smaller than the sum of its proper divisors (2688292815080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101122100120 is a wasteful number, since it uses less digits than its factorization.

2101122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284548 (or 284544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2101122100120 its reverse (210012211012), we get a palindrome (2311134311132).

The spelling of 2101122100120 in words is "two trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".